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Finding the Fourth Proportional to 329,120.30, 493,629.89 and 104,451.54

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Solution

The fourth proportional to 329,120.30, 493,629.89 and 104,451.54 is: 156,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,120.30 : 493,629.89 = 104,451.54 : x
  2. Step 2: Convert to fraction form
    329,120.30/493,629.89 = 104,451.54/x
  3. Step 3: Cross multiply
    329,120.30x = 493,629.89 × 104,451.54
  4. Step 4: Simplify right side
    329,120.30x = 51,560,401,678.27
  5. Step 5: Solve for x
    x = 51,560,401,678.27/329,120.30
  6. Step 6: Final answer
    x = 156,661.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.